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klio [65]
3 years ago
11

Simplify the expression 5/x^-2y^5

Mathematics
1 answer:
DENIUS [597]3 years ago
5 0

Answer:

\Lagre\Huge\boxed{\dfrac{5}{x^{-2}y^5}=\dfrac{5x^2}{y^5}}

Step-by-step explanation:

a^{-n}=\dfrac{1}{a^n}\to x^{-2}=\dfrac{1}{x^2}\\\\\text{therefore}\\\\\dfrac{5}{x^{-2}y^5}=\dfrac{5}{\frac{1}{x^2}\cdot y^5}=\dfrac{5}{y^5}\cdot\dfrac{x^2}{1}=\dfrac{5x^2}{y^5}

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Step-by-step explanation:

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Pastries made out of filo dough are brushed with either olive oil or butter (but not both). Pastries made out of shortcrust doug
givi [52]

Answer:

3X/20 (option a) of the pastries submitted by Rashid and Mikhail were brushed with butter

Step-by-step explanation:

Rashid pastries (R)

Mikhail pastries (M)

Rashid and Mikhail submitted a total of x pastries

R+M=x (I)

Rashid made 2/3 as many pastries as Mikhail

(2/3)*R=M (II)

Using II in I

R+(2/3)*R=x

(5/3)*R = x

R=(3/5)*x (III)

Using III in I

(3/5)*x+M=x

M=x-(3/5)*x

M=(2/5)*x (IV)

Mikhail filo dough (MF)

Mikhail shortcrust dough (MS)

Rashid filo dough (RF)

Rashid shortcrust dough (RS)

Mikhail used filo dough for all of his pastries

MF=M

MS=0

Rashid used shortcrust dough for all of his pastries

RS=R

RF=0

Filo dough (FD)

FD=RF+MF=0+MF=MF=M (V)

5/8 of the filo dough pastries were brushed with olive oil

pastries brushed with olive oil (OI)

(5/8)*FD=OI

Using V

(5/8)*M=OI

Using IV

(5/8)*(2/5)*x=OI

(1/4)*x=OI (VI)

pastries brushed with butter (B)

Pastries made out of filo dough are brushed with either olive oil or butter (but not both)

FD=OI+B

B=FD-OI

Using V and VI

B= M - (1/4)*x

Using IV

B = (2/5)*x - (1/4)*x

B= (3/20)*x

3X/20 (option a) of the pastries submitted by Rashid and Mikhail were brushed with butter

5 0
3 years ago
Can someone answer this question please answer it correctly if it’s corect I will mark you brainliest
lana [24]

Answer:

1/21

Step-by-step explanation:

Cards: 2,3,4,5,6,7,8      7 cards

1st card :5

P(5) = number of 5's / total

       = 1/7

Then we keep the card

Cards: 2,3,4,6,7,8   only 6 cards left

card less than 4: 2,3

P (card less than 4)  = number of cards less than 4/ total cards

                                  = 2/6 = 1/3

P (5, no replacement, card less than 4) = P(5) * P( less than 4)

                                                                 = 1/7 * 1/3

                                                                  =1/21

4 0
3 years ago
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